Arthur F. Thurnau Professor
Department of Mathematics
4830 East Hall
530 Church Street
University of Michigan
Ann Arbor, MI 48109-1043
phone: (734)-763-3505
fax: (734)-763-0937
email: krasnyATumichDOTedu
teaching
winter 2019
Math 572
Numerical Methods for Differential Equations
Math 671
Topics in Scientific Computing: Particle Methods
research
scientific computing, particle methods
1. fluid dynamics,
vortex dynamics, Kelvin-Helmholtz instability, vortex sheet roll-up, vortex rings,
aircraft wake structure,
Hamiltonian chaos in vortex flow
2. treecode algorithms for long-range particle interactions,
applications to vortex methods,
electric fields in plasmas, molecular dynamics, radial basis functions
3. boundary integral methods for Poisson-Boltzmann equation,
implicit solvent model for solvated biomolecules
4. Lagrangian particle methods for barotropic vorticity equation on a rotating sphere
5. modeling charge transport in organic solar cells
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This material is based upon work supported by the National Science Foundation under Grant No. 0510162.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.